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Find the product. Simplify your answer. \newline3t(−3t2+2t)3t(-3t^2 + 2t)

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Full solution

Q. Find the product. Simplify your answer. \newline3t(−3t2+2t)3t(-3t^2 + 2t)
  1. Identify expression: Identify the expression after using the distributive property.\newlineDistribute 3t3t to −3t2-3t^2 and 2t2t.\newline3t(−3t2+2t)=3t(−3t2)+3t(2t)3t(-3t^2 + 2t) = 3t(-3t^2) + 3t(2t)
  2. Distribute terms: Simplify 3t(−3t2)3t(-3t^2).\newlineMultiply 3t3t and −3t2-3t^2.\newline3t(−3t2)=−9t33t(-3t^2) = -9t^3
  3. Simplify −3t2-3t^2: Simplify 3t(2t)3t(2t).\newlineMultiply 3t3t and 2t2t.\newline3t(2t)=6t23t(2t) = 6t^2
  4. Simplify 2t2t: Combine the simplified terms.\newlineWhat is the simplified form of 3t(−3t2+2t)3t(-3t^2 + 2t)?\newline3t(−3t2+2t)=−9t3+6t23t(-3t^2 + 2t) = -9t^3 + 6t^2

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